Pith Number

pith:QUK7YSEH

pith:2013:QUK7YSEH3PIOAELX4T3VXXZHOO

not attested not anchored not stored refs pending

Metric spaces nonembeddable into Banach spaces with the Radon-Nikod\'ym property and thick families of geodesics

Mikhail Ostrovskii

arxiv:1312.5381 v2 · 2013-12-19 · math.MG · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUK7YSEH3PIOAELX4T3VXXZHOO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:37:44.715934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8515fc4887dbd0e01177e4f75bdf2773afabf97d9b4bc9ee1451108ae36281b6

Aliases

arxiv: 1312.5381 · arxiv_version: 1312.5381v2 · doi: 10.48550/arxiv.1312.5381 · pith_short_12: QUK7YSEH3PIO · pith_short_16: QUK7YSEH3PIOAELX · pith_short_8: QUK7YSEH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QUK7YSEH3PIOAELX4T3VXXZHOO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8515fc4887dbd0e01177e4f75bdf2773afabf97d9b4bc9ee1451108ae36281b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16cf8744398ccdb2609cee8f144666b12d80dfa6842fd542e6662ed9fc03238d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-19T00:55:30Z",
    "title_canon_sha256": "a0532d19e20b6cadba0cb447580d8fb884330610950967bf2a2a899fecf6d34a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5381",
    "kind": "arxiv",
    "version": 2
  }
}